Question

If f(x) is an even function and (6, 8) is one the points on the graph of f(x), which reason explains why (–6, 8) must also be a point on the graph?

Answer 1

Even functions have coordinates that have another coordinate with the same y-value, but a negative x-value.

For example: (1,3) and (-1, 3)

Answer 2

Given: f(x) is an even function.

graph of f(x) has ( 6 , 8 ) point on it.

We know that a function is said to be even when function produce same result when independent variable replaced with negative of independent variable.

that is f(x) = f(-x)

value of x in Point ( 6 , 8 ) = 6

Function is even So, it produce same result for the value of x = -6.

⇒ ( - 6 , 8 ) lies on the graph of the f(x).